Model Analysis

Focus Question

How does a government’s expenditure on education impact rural and urban population growths?

Model Definitions

\[y_u = \beta_0 + \beta_1 x_{1,u} + \epsilon_u\]

with \(y_u = Urban\_PopGrowth\), \(x_1 = edu\_exp\), and \(\epsilon_i \sim N(0, \sigma^2)\).

\[y_r = \beta_0 + \beta_1 x_{1,r} + \epsilon_r\] with \(y_u = Rural\_PopGrowth\), \(x_1 = edu\_exp\), and \(\epsilon_r \sim N(0, \sigma^2)\).

stan_glm
 family:       gaussian [identity]
 formula:      Edu_Exp ~ Urban_PopGrowth
 observations: 1447
 predictors:   2
------
                Median         MAD_SD        
(Intercept)     448291202312.4  51608403832.4
Urban_PopGrowth -58004683565.4  19200689288.4

Auxiliary parameter(s):
      Median       MAD_SD      
sigma 1.189343e+12 2.232049e+10

------
* For help interpreting the printed output see ?print.stanreg
* For info on the priors used see ?prior_summary.stanreg

stan_glm
 family:       gaussian [identity]
 formula:      Edu_Exp ~ Rural_PopGrowth
 observations: 1447
 predictors:   2
------
                Median         MAD_SD        
(Intercept)     350811012141.7  32189558592.9
Rural_PopGrowth -81954546363.3  20138949606.7

Auxiliary parameter(s):
      Median       MAD_SD      
sigma 1.186938e+12 2.274886e+10

------
* For help interpreting the printed output see ?print.stanreg
* For info on the priors used see ?prior_summary.stanreg